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- PP_(complexity) abstract "In complexity theory, PP is the class of decision problems solvable by a probabilistic Turing machine in polynomial time, with an error probability of less than 1/2 for all instances. The abbreviation PP refers to probabilistic polynomial time. The complexity class was defined by Gill in 1977.If a decision problem is in PP, then there is an algorithm for it that is allowed to flip coins and make random decisions. It is guaranteed to run in polynomial time. If the answer is YES, the algorithm will answer YES with probability more than 1/2. If the answer is NO, the algorithm will answer YES with probability less than or equal to 1/2. In more practical terms, it is the class of problems that can be solved to any fixed degree of accuracy by running a randomized, polynomial-time algorithm a sufficient (but bounded) number of times.An alternative characterization of PP is the set of problems that can be solved by a nondeterministic Turing machine in polynomial time where the acceptance condition is that a majority (more than half) of computation paths accept. Because of this some authors have suggested the alternative name Majority-P.".
- PP_(complexity) wikiPageID "659322".
- PP_(complexity) wikiPageLength "13780".
- PP_(complexity) wikiPageOutDegree "44".
- PP_(complexity) wikiPageRevisionID "695160446".
- PP_(complexity) wikiPageWikiLink Arthur–Merlin_protocol.
- PP_(complexity) wikiPageWikiLink BPP_(complexity).
- PP_(complexity) wikiPageWikiLink BQP.
- PP_(complexity) wikiPageWikiLink Boolean_circuit.
- PP_(complexity) wikiPageWikiLink Boolean_satisfiability_problem.
- PP_(complexity) wikiPageWikiLink Category:Probabilistic_complexity_classes.
- PP_(complexity) wikiPageWikiLink Category:Quantum_complexity_theory.
- PP_(complexity) wikiPageWikiLink Chernoff_bound.
- PP_(complexity) wikiPageWikiLink Computational_complexity_theory.
- PP_(complexity) wikiPageWikiLink Decision_problem.
- PP_(complexity) wikiPageWikiLink Intersection_(set_theory).
- PP_(complexity) wikiPageWikiLink Karp–Lipton_theorem.
- PP_(complexity) wikiPageWikiLink Low_(complexity).
- PP_(complexity) wikiPageWikiLink Majority_function.
- PP_(complexity) wikiPageWikiLink NP-completeness.
- PP_(complexity) wikiPageWikiLink NP_(complexity).
- PP_(complexity) wikiPageWikiLink Non-deterministic_Turing_machine.
- PP_(complexity) wikiPageWikiLink Open_problem.
- PP_(complexity) wikiPageWikiLink Oracle_machine.
- PP_(complexity) wikiPageWikiLink PH_(complexity).
- PP_(complexity) wikiPageWikiLink PSPACE.
- PP_(complexity) wikiPageWikiLink Polynomial-time_reduction.
- PP_(complexity) wikiPageWikiLink Polynomial_hierarchy.
- PP_(complexity) wikiPageWikiLink PostBQP.
- PP_(complexity) wikiPageWikiLink Postselection.
- PP_(complexity) wikiPageWikiLink Probabilistic_Turing_machine.
- PP_(complexity) wikiPageWikiLink QMA.
- PP_(complexity) wikiPageWikiLink Quantum_Turing_machine.
- PP_(complexity) wikiPageWikiLink Quantum_computing.
- PP_(complexity) wikiPageWikiLink Scott_Aaronson.
- PP_(complexity) wikiPageWikiLink Seinosuke_Toda.
- PP_(complexity) wikiPageWikiLink Sharp-P.
- PP_(complexity) wikiPageWikiLink Symmetric_difference.
- PP_(complexity) wikiPageWikiLink TC0.
- PP_(complexity) wikiPageWikiLink Time_complexity.
- PP_(complexity) wikiPageWikiLink Todas_theorem.
- PP_(complexity) wikiPageWikiLink Union_(set_theory).
- PP_(complexity) wikiPageWikiLink Without_loss_of_generality.
- PP_(complexity) wikiPageWikiLinkText "PP (complexity)".
- PP_(complexity) wikiPageWikiLinkText "PP (complexity)#PQP".
- PP_(complexity) wikiPageWikiLinkText "PP".
- PP_(complexity) wikiPageWikiLinkText "PP-complete".
- PP_(complexity) wikiPageWikiLinkText "Probabilistic Polynomial Time".
- PP_(complexity) wikiPageWikiLinkText "Quantum computation reformulation of '''PP'''".
- PP_(complexity) wikiPageWikiLinkText "probabilistic polynomial time".
- PP_(complexity) wikiPageWikiLinkText "probabilistic polynomial".
- PP_(complexity) wikiPageWikiLinkText "probabilistic, polynomial-time algorithm".
- PP_(complexity) wikiPageWikiLinkText "proof that '''PP''' is closed under complementation".
- PP_(complexity) wikiPageWikiLinkText "quantum computation reformulation of '''PP'''".
- PP_(complexity) wikiPageUsesTemplate Template:Anchor.
- PP_(complexity) wikiPageUsesTemplate Template:CZoo.
- PP_(complexity) wikiPageUsesTemplate Template:Cite_book.
- PP_(complexity) wikiPageUsesTemplate Template:Cite_journal.
- PP_(complexity) wikiPageUsesTemplate Template:ComplexityClasses.
- PP_(complexity) wikiPageUsesTemplate Template:ECCC.
- PP_(complexity) wikiPageUsesTemplate Template:Reflist.
- PP_(complexity) subject Category:Probabilistic_complexity_classes.
- PP_(complexity) subject Category:Quantum_complexity_theory.
- PP_(complexity) hypernym Problems.
- PP_(complexity) type Disease.
- PP_(complexity) type Class.
- PP_(complexity) comment "In complexity theory, PP is the class of decision problems solvable by a probabilistic Turing machine in polynomial time, with an error probability of less than 1/2 for all instances. The abbreviation PP refers to probabilistic polynomial time. The complexity class was defined by Gill in 1977.If a decision problem is in PP, then there is an algorithm for it that is allowed to flip coins and make random decisions. It is guaranteed to run in polynomial time.".
- PP_(complexity) label "PP (complexity)".
- PP_(complexity) sameAs Q1563053.
- PP_(complexity) sameAs بي_بي_(تعقيد_حسابي).
- PP_(complexity) sameAs Probabilistische_Polynomialzeit.
- PP_(complexity) sameAs PP_(complexité).
- PP_(complexity) sameAs PP.
- PP_(complexity) sameAs PP_(計算複雑性理論).
- PP_(complexity) sameAs PP_(complexidade).
- PP_(complexity) sameAs m.030hfh.
- PP_(complexity) sameAs Класс_PP.
- PP_(complexity) sameAs Q1563053.
- PP_(complexity) sameAs PP_(複雜度).
- PP_(complexity) wasDerivedFrom PP_(complexity)?oldid=695160446.
- PP_(complexity) isPrimaryTopicOf PP_(complexity).